Nonthreshold anomalous time advance in multichannel scattering

Dijk, W. van; Spyksma, Kyle; West, Matthew

doi:10.1103/physreva.78.022108

Cited by 7 publications

(8 citation statements)

References 37 publications

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“…It follows from the discussion in the previous section that the approach based on projection onto the intrinsic basis is unpredictable in its ability to handle the problem. As an alternative, the time-dependent methods have previously been used to treat similar problems [16]. Here we discuss the Variable Phase Method (VPM), which is a well established technique for treating multi-channel tunneling and scattering.…”

Section: The Variable Phase Methods (Vpm)mentioning

confidence: 99%

“…In addition, Smatrix allows one to utilize the symmetries of the problem, and determine relations among the amplitudes. Despite S-matrix being a textbook subject [12,13], there are a few non-trivial features that emerge in the case of coupled-channel problems and with non-symmetric potentials [14][15][16]. We review some of them in what follows.…”

Section: B the S-matrixmentioning

confidence: 99%

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Quantum tunneling and scattering of a composite object reexamined

Ahsan¹,

Volya²

2010

Phys. Rev. C

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This work presents an extensive exploration of scattering and tunneling involving composite objects with intrinsic degrees of freedom. We aim at exact solutions to such scattering problems. Along this path we demonstrate solution to model Hamiltonians, and develop different techniques for addressing these complex reaction-physics problems, discuss their applicability, and investigate the relevant convergence issues. As examples, we study the scattering of a two-constituent deuteronlike systems either with an infinite set of intrinsic bound states or with a continuum of states that allows for breakup. We show that the internal degrees of freedom of the projectile and its virtual excitation in the course of reactions play an important role in shaping the S-matrix and related observables, giving rise to enhanced or reduced tunneling in various situations.

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Section: The Variable Phase Methods (Vpm)mentioning

confidence: 99%

Section: B the S-matrixmentioning

confidence: 99%

Quantum tunneling and scattering of a composite object reexamined

Ahsan¹,

Volya²

2010

Phys. Rev. C

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“…The exact solutions for the upper sign in Eqs. (14)(15)(16)(17) are displayed in Table II. Now the CC problem has two resonances and two antibound states.…”

Section: B Coupled-channel: Exact Solutionsmentioning

confidence: 99%

“…The exact solutions for the upper sign in Eqs. (14)(15)(16)(17) The approximate solutions are obtained by direct diagonalization of the Cox potential on Berggren basis as it is described in section III. For this we need to find the parameters α 1 and α 2 of the potential which give the energies of the exact solution of the previous section.…”

Section: B Coupled-channel: Exact Solutionsmentioning

confidence: 99%

“…However, it was recognized long ago that poles far from the physical regions (so called shadow poles) may have large effects on observables [14,15]. This phenomenon occurs in atomic [16][17][18][19], nuclear [20][21][22][23] and particle physics [24][25][26] as well. The effect of the shadow poles was also studied for two-dimensional confined electron gas [27].…”

Section: Introductionmentioning

confidence: 99%

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Shadow poles in coupled-channel problems calculated with the Berggren basis

2018

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Background: In coupled-channel models the poles of the scattering S-matrix are located on different Riemann sheets. Physical observables are affected mainly by poles closest to the physical region but sometimes shadow poles have considerable effect, too.Purpose: The purpose of this paper is to show that in coupled-channel problems all poles of the S-matrix can be located by an expansion in terms of a properly constructed complex-energy basis.Method: The Berggren basis is used for expanding the coupled-channel solutions.Results: The locations of the poles of the S-matrix for the Cox potential, constructed for coupled channel problems, were numerically calculated and compared with the exact ones. In a nuclear physics application the J π = 3/2 + resonant poles of 5 He were calculated in a phenomenological two channel model. The properties of both the normal and shadow resonances agree with previous findings. Conclusions:We have shown that, with an appropriately chosen Berggren basis, all poles of the S-matrix including the shadow poles can be determined. We have found that the shadow pole of 5 He migrates between Riemann sheets if the coupling strength is varied.

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Phenomenological theory of echo poles

Micheli

Viano

2014

Nuclear Physics A

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Nonthreshold anomalous time advance in multichannel scattering

Cited by 7 publications

References 37 publications

Quantum tunneling and scattering of a composite object reexamined

Quantum tunneling and scattering of a composite object reexamined

Shadow poles in coupled-channel problems calculated with the Berggren basis

Phenomenological theory of echo poles

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